I do not think that original injury is shoe related as it was partially caused by tripping over, however, I am considering some Asics Kayano 23 to train in, especially while I am recovering as they have a reputation for providing good support for people prone to knee injuries, and they are also designed for overpronators, which is also my case

I can't recall how she tested the strength of the muscles, but once she though it was weak calves, she had me do single calf raises. I could to 10 on my left and 15 on my right before the pain got real. Taking into account my race on Sunday she has me only doing double calf raises, 3x 20.

I had this tip 15 years ago from an ex-pro runner, now coaching worldwide.

for Achilles, it works really well a highly concentrated cream in Methyl-Salicilat
It is not allowed in some countries over some % grade but you need to find it at more than 30%
I usually stock my bag in USA where you find many different brands at 30% or more. Where I live, 5% max is allowed only for toxicity.

Try to find it, apply as much as you can 2, 3 times a day, and after 48hrs you should see already the miracle. Tested on myself many times, my wife and other running mates.
Not working 100% of the cases but most of them...